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201310312012212 = 2231331276715044251
BaseRepresentation
bin101101110001011100110101…
…101000110001100110110100
3222101210002002202212000012210
4231301130311220301212310
5202341232004333342322
61552052403003213420
760255122124540564
oct5561346550614664
9871702082760183
10201310312012212
1159164250a88987
121a6b3354217270
1388436338b8ca0
14379d684950da4
15184182345570c
hexb71735a319b4

201310312012212 has 96 divisors (see below), whose sum is σ = 522363388739584. Its totient is φ = 59921849520000.

The previous prime is 201310312012171. The next prime is 201310312012213. The reversal of 201310312012212 is 212210213013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201310312012213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5859087 + ... + 20903337.

Almost surely, 2201310312012212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201310312012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261181694369792).

201310312012212 is an abundant number, since it is smaller than the sum of its proper divisors (321053076727372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201310312012212 is a wasteful number, since it uses less digits than its factorization.

201310312012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15047069 (or 15047067 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 201310312012212 its reverse (212210213013102), we get a palindrome (413520525025314).

The spelling of 201310312012212 in words is "two hundred one trillion, three hundred ten billion, three hundred twelve million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 2767 4836 5534 8301 11068 16602 33204 35971 71942 85777 107913 143884 171554 215826 257331 343108 431652 514662 1029324 1115101 2230202 3345303 4460404 6690606 13381212 15044251 30088502 45132753 60177004 90265506 180531012 195575263 391150526 466371781 586725789 782301052 932743562 1173451578 1399115343 1865487124 2346903156 2798230686 5596461372 6062833153 12125666306 18188499459 24251332612 36376998918 41627442517 72753997836 83254885034 124882327551 166509770068 249764655102 499529310204 541156752721 1082313505442 1290450718027 1623470258163 2164627010884 2580901436054 3246940516326 3871352154081 5161802872108 6493881032652 7742704308162 15485408616324 16775859334351 33551718668702 50327578003053 67103437337404 100655156006106 201310312012212